Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 416, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2022.114590
Keywords
TimefractionalMaxwell?ssystem; Cole-Colemodel; Dispersivemedium; FDTD; Fastalgorithm
Categories
Funding
- National Natural Science Foundation of China [12131014, 11901497]
- Shandong Provincial Natural Science Foundation, China [ZR2019PA021]
- Project for Hunan National Applied Mathematics Center of Hunan Provincial Science and Technology Department, China [2020ZYT003]
- Project of Scientific Research Fund of Hunan Provincial Science and Technology Department, China [2018WK4006]
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In this paper, a fast second-order finite-difference time-domain (FDTD) algorithm based on the FL2-1(sigma) formula and a weighted approach is proposed for solving the time fractional Maxwell's system. The discretization of the Caputo derivative term is constructed, and a fast second-order fully discrete FDTD algorithm is developed based on this discretization. Numerical examples with analytic solutions are provided to demonstrate the accuracy and efficiency of the proposed algorithm.
In this paper, a fast second-order finite-difference time-domain (FDTD) algorithm based on the recently proposed FL2-1(sigma) formula and a weighted approach is presented for solving the time fractional Maxwell's system. Firstly, we construct a discretization to the Caputo derivative term, and then propose a fast second-order fully discrete FDTD algorithm by applying this discretization. And the detailed algorithm implementation process is given. Finally, numerical examples with analytic solutions on 2D and 3D domains are provided to verify the accuracy and efficiency of the proposed algorithm. (C) 2022 Published by Elsevier B.V.
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